Maya, Meena, Mini and Mukta bought a pizza for
60. Maya paid one-half of the sum of amounts paid
by the other girls. Meena paid one-third of the sum of
amounts paid by the other girls. Mini paid one-fourth
of the sum of amounts paid by the other girls. How
much did Mukta pay?
Answers
Answer:
I think 13 will be pay by mukta
Solution :-
Let :-
- Maya paid = Rs. a
- Meena paid = Rs. b
- Mini paid = Rs. c
- Mukta paid = Rs. d
So,
→ a + b + c + d = 60 --------- Eqn.(1)
now,
→ Maya paid = (1/2)[ other girls paid ]
→ a = (1/2)(b + c + d)
→ 2a = (b + c + d)
putting in Eqn.(1),
→ a + 2a = 60
→ 3a = 60
→ a = Rs.20 ----- Eqn.(2)
and,
→ Meena paid = (1/3)[ other girls paid ]
→ b = (1/3)(a + c + d)
→ 3b = (a + c + d)
putting in Eqn.(1),
→ b + 3b = 60
→ 4b = 60
→ b = Rs.15 ------ Eqn.(3)
and,
→ Mini paid = (1/4)[ other girls paid ]
→ c = (1/4)(a + b + d)
→ 4c = (a + b + d)
putting in Eqn.(1),
→ c + 4c = 60
→ 5c = 60
→ c = Rs.12 ------ Eqn.(4)
therefore, putting values from Eqn.(2), (3) and (4) in Eqn.(1) we get,
→ 20 + 15 + 12 + d = 60
→ 47 + d = 60
→ d = 60 - 47
→ d = Rs.13 (Ans.)
Hence, the amount paid by Mukta is was Rs.13 .
Learn more :-
the cost of a mixture of three varieties of rice is rupees 56.5 if the cost of three varieties are rupees 50 per kg and .
https://brainly.in/question/45031867
A person gains Rs. 357 on selling a table at 13% gain and a chair at 6% gain. If he sells the table at 15% gain
and the ...
https://brainly.in/question/26704972